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Finding the Third Proportional to 4,622.17 and 6,925.29

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Solution

The third proportional to 4,622.17 and 6,925.29 is: 10,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.17 : 6,925.29 = 6,925.29 : x
  2. Step 2: Convert to fraction form
    4,622.17/6,925.29 = 6,925.29/x
  3. Step 3: Cross multiply
    4,622.17x = 6,925.29 × 6,925.29
  4. Step 4: Simplify right side
    4,622.17x = 47,959,628.60
  5. Step 5: Solve for x
    x = 47,959,628.60/4,622.17
  6. Step 6: Final answer
    x = 10,376.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.